1009908505008 has 160 divisors (see below), whose sum is σ = 3127001734080. Its totient is φ = 310223001600.

The previous prime is 1009908504989. The next prime is 1009908505019. The reversal of 1009908505008 is 8005058099001.

1009908505008 is a `hidden beast` number, since 1 + 0 + 0 + 9 + 90 + 8 + 50 + 500 + 8 = 666.

It is a super-2 number, since 2×1009908505008² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3225610 + ... + 3524822.

It is an arithmetic number, because the mean of its divisors is an integer number (19543760838).

Almost surely, 2^{1009908505008} is an apocalyptic number.

1009908505008 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1009908505008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1563500867040).

1009908505008 is an abundant number, since it is smaller than the sum of its proper divisors (2117093229072).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1009908505008 is a wasteful number, since it uses less digits than its factorization.

1009908505008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 299844 (or 299832 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 45.

The spelling of 1009908505008 in words is "one trillion, nine billion, nine hundred eight million, five hundred five thousand, eight".